Finite-time stability of fractional order BAM neural networks with time delay

2017 ◽  
Vol 20 (3) ◽  
pp. 681-693 ◽  
Author(s):  
Yunquan Ke
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Bam Neural Networks ◽  
Time Stability ◽  
Finite Time Stability

scholarly journals Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Yuping Cao ◽  
Chuanzhi Bai
Keyword(s):  
Neural Networks ◽  
Fractional Calculus ◽  
Fractional Order ◽  
Finite Time ◽  
Distributed Delay ◽  
Bam Neural Networks ◽  
Time Stability ◽  
Finite Time Stability ◽  
Generalized Gronwall Inequality ◽  
Grönwall Inequality

Based on the theory of fractional calculus, the generalized Gronwall inequality and estimates of mittag-Leffer functions, the finite-time stability of Caputo fractional-order BAM neural networks with distributed delay is investigated in this paper. An illustrative example is also given to demonstrate the effectiveness of the obtained result.

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

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